Problems of Math 10th Class Pdf

Complete handwritten class 10 maths chapter 9 notes of Chords of a Circle of Mathematics 10th class by Dear Respectable Sir M. Ramzan Suib. These handwritten notes are very helpful in the preparation of class 10 maths chapter 9 notes for students of the 10th class Mathematics and these are according to the paper patterns of all Punjab boards.

• Important class 10th maths chapter 9 notes for all students of Punjab  Textbook Board.
• Important MCQs of Chapter No.9: Chords of a Circle of Mathematics 10th class.
• Important definitions of Chapter No.9: Chords of a Circle of Mathematics 10th class.
• Solutions of Chapter No.9: Chords of a Circle of Mathematics 10th class.
• Important problems of Chapter No.9: Chords of a Circle of Mathematics 10th class.
• Multiple Choice Questions. Four possible answers are given for the following questions. Tick the correct answer.
• (i) In the circular figure, ADB is called:  (a) an are  (b) a secant  (c) a chord  (d) a diameter
• (ii) In the circular figure, ACB is called:  (a) an arc  (c) a chord  (b) a secant  (d) a diameter
• (iii) In the circular figure, AOB is called:  (a) an arc  (c) a chord  (b) a secant  (d) a diameter
• (iv) In a circular figure, two chords AB and CD are equidistant from the centre. They will be:  (a) parallel  (b) non congruent  (c) congruent  (d) perpendicular
• (v) Radii of a circle are:  (a) all equal  (b) double of the diameter  (c) all unequal  (d) half of any chord
• (vi) A chord passing through the centre of a circle is called:  (a) radius  (b) diameter  (c) circumference  (d) secant
• (vii) Right bisector of the chord of a circle always passes through the:  (a) radius  (b) circumference  (c) centre  (d) diameter
• (viii) The circular region bounded by two radii and the corresponding arc is called:  (a) circumference of a circle  (b) sector of a circle  (c) diameter of a circle  (d) segment of a circle
• (ix) The distance of any point of the circle to its centre is called:  (a) radius  (b) diameter  (c) a chord  (d) an arc
• (x) Line segment joining any point of the circle to the centre is called:  (a) circumference  (b) diameter  (c) radial segment  (d) perimeter
• Important class 10 maths notes chapter 9 for all students of Punjab  Textbook Board.
• Differentiate between the following terms and illustrate them by diagrams.
• (i) A circle and a circumference.  (ii) A chord and the diameter of a circle.  (iii) A chord and an are of a circle.  (iv) Minor arc and major arc of a circle.  (v) Interior and exterior of a circle.  (vi) A sector and a segment of a circle.
• Important definitions: 2π r is the circumference of a circle with radius r.
• π r² is the area of a circle with radius r.
• Three or more points lying on the same line are called collinear points otherwise they are non-collinear points.
• The circle passing through the vertices of a triangle is called its circumcircle whereas ⊥ bisectors of sides of the triangle provide the centre.
• One and only one circle can pass through three non-collinear points.
• A straight line, drawn from the centre of a circle to bisect a chord (which is not a diameter) is perpendicular to the chord.
• Perpendicular from the centre of a circle on a chord bisects it.
• If two chords of a circle are congruent, then they will be equidistant from the centre.
• Two chords of a circle which are equidistant from the centre are congruent.
• Basic concepts of the circle: A circle is the locus of a moving point P in a plane which is always equidistant from some fixed point O. The fixed point O not lying on the circle is called the centre, the constant distance OP is its radius whereas the boundary traced by moving point P is called circumference of the circle. Note that the radial segment of a circle is a line segment, determined by the centre and a point on the circle. There is only one centre point whereas all the radii of a circle are equal in length.